Unit 1: Place Value Review

Number Forms

100

What is the standard form of seven thousand, eight hundred fifty-four and thirty-two hundredths?

7, 854.32

200

What is the expanded form of 542.32?

500 + 40 + 2 + 0.3 + 0.02

300

Write the following number in expanded notation: 3,287.45

(3 x 1,000) + (2 x 100) + (8 x 10) + (7 x 1) + (4 x 1/10) + (5 x 1/100)

400

A student wrote the equation below to represent 832.65 using expanded notation. The work is not accurate. Find the flaw and explain what was done incorrectly.

(8 x 100) + (3 x 10) + (2 x 1) + (6 x 1/10) + (5 x 1/1,000) 

The student wrote (5 x 1/1,000) instead of (5 x 1/100). This is wrong because the value of the 5 is five hundredths, not five thousandths. 

500

Write the following number in word form: 4,589.654

Four thousand, five hundred eighty-nine and six hundred fifty-four thousandths

Powers of 10

100

Write 100 as an exponent

10²

200

What is the value of 8.6 x 10

86

300

What is the value of 94.23 divided by 100

.9423

400

Solve for n: 3.24 x 10ⁿ = 324,000

n = 5

500

Use the pattern to solve. 

1.3 x 10⁰ = 1.3 

1.3 x 10¹ = 13 

1.3 x 10² = 130 

1.3 x 10³ = 1,300

1.3 x 10⁴= _______

13,000

Comparing Decimals

100

True or False?

84.342 > 84.3

True

200

True or False?

Eight hundred forty seven thousandths = 847,000

False

300

Fill in the correct sign (<, >, =)

57.42 ___ 5.742

>

400

Fill in the correct sign (<, >, =)

10² x 45.3 ___ 4,530

=

500

Fill in the correct sign (<, >, =)

983.5 ___ (9 x 100)+(8 x 10)+(3 x 1/10)+(5 x 1/100) 

>

Rounding Decimals

100

Round to the nearest whole number: 

54.7

55

200

Round to the nearest tenth: 

87.592

87.6

300

Use rounding to estimate the sum of 54.32 + 7.1 (round to the nearest whole number) 

54 + 7 = 61

400

Select the three numbers that round to 3.8.

A. 3.555 

B. 3.79 

C. 3.699 

D. 3.759 

E. 3.812

F. 3.59

B, D, E

500

Select the two statements that are incorrect.

A. 3.678 rounds to 3.7

B. 7.492 rounds to 7.5

C. 1.235 rounds to 1.24

D. 5.64 rounds to 5.7

E. 2.406 rounds to 2.4

C, D

Random

100

Solve for n

95 x n = 9,500,000

n = 10⁵ or 100,000

200

What is the value of 654 x 1/10?

65.4

300

32.67 x _____ = 3,267

100 or 10²

400

72 x 1/100 = _____

.72 

500

Which statement correctly compares the value of the digit 3?

A. The value of the 3 in 32.84 is 1/10 the value of the 3 in 95.34. 

B. The value of the 3 in 32.84 is 10 times the value of the 3 in 95.34. 

C. The value of the 3 in 32.84 is 1/100 the value of the 3 in 95.34 

D. The value of the 3 in 32.84 is 100 times the value of the 3 in 95.34

D